## Which of the following fractions expressed in the form

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### Which of the following fractions expressed in the form

by Gmat_mission » Sat Mar 17, 2018 9:09 am
Which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit?

A. 1/8

B. 2/9

C. 3/4

D. 4/5

E. 8/9

[spoiler]OA=E[/spoiler].

I don't understand this PS question. Could someone explain me the answer? thank you!!

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by [email protected] » Sat Mar 17, 2018 6:53 pm
Hi Gmat_mission,

We're asked which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit. This question can be solved with some 'brute force' arithmetic. We're asked to find the answer that most closely matches the decimal 'conversion' that's described.

1/8 = .125 vs .18

2/9 = .222 vs .29

3/4 = .75 vs .34

4/5 = .8 vs .45

8/9 = .888 vs .89

Comparing the respective 'pairs' of decimals, one answer stands out as having two numbers that are an approximation of one another...

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### PQ

by GMATGuruNY » Sun Mar 18, 2018 3:06 am
Gmat_mission wrote:Which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit?

A. 1/8

B. 2/9

C. 3/4

D. 4/5

E. 8/9
P/Q â‰ˆ 0.PQ
P/Q â‰ˆ (PQ)/100
100P â‰ˆ Q * PQ

The correct value for P/Q must satisfy the approximation in blue.

A: 100*1 â‰ˆ 8*18
B: 100*2 â‰ˆ 9*29
C. 100*3 â‰ˆ 4*34
D. 4*100 â‰ˆ 5*45
E: 8*100 â‰ˆ 9*89

Only E yields a valid approximation.

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by [email protected] » Fri May 24, 2019 3:12 pm
Gmat_mission wrote:Which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit?

A. 1/8

B. 2/9

C. 3/4

D. 4/5

E. 8/9

[spoiler]OA=E[/spoiler].

A) 1/8 = 0.125 and 0.18

B) 2/9 = 0.222... and 0.29

C) 3/4 = 0.75 and 0.34

D) 4/5 = 0.8 and 0.45

E) 8/9 = 0.888... and 0.89

Since 0.88 and 0.89 are closest to each other, the answer is E.